Bundle of principal parts

In algebraic geometry, given a line bundle L on a smooth variety X, the bundle of n-th order principal parts of L is a vector bundle of rank that, roughly, parametrizes n-th order Taylor expansions of sections of L.

Precisely, let I be the ideal sheaf defining the diagonal embedding and the restrictions of projections to . Then the bundle of n-th order principal parts is[1]

Then and there is a natural exact sequence of vector bundles[2]

where is the sheaf of differential one-forms on X.

See also

References

  1. ^ Fulton 1998, Example 2.5.6.
  2. ^ SGA 6 1971, Exp II, Appendix II 1.2.4.
  • Fulton, William (1998), Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol. 2 (2nd ed.), Berlin, New York: Springer-Verlag, ISBN 978-3-540-62046-4, MR 1644323
  • Appendix II of Exp II of Berthelot, Pierre; Alexandre Grothendieck; Luc Illusie, eds. (1971). Séminaire de Géométrie Algébrique du Bois Marie - 1966-67 - Théorie des intersections et théorème de Riemann-Roch - (SGA 6) (Lecture notes in mathematics 225) (in French). Berlin; New York: Springer-Verlag. xii+700. doi:10.1007/BFb0066283. ISBN 978-3-540-05647-8. MR 0354655.
Stub icon

This algebraic geometry–related article is a stub. You can help Wikipedia by expanding it.

Read other articles:

Nikos Konstantopoulos

Nikos KonstantopoulosΝίκος Κωνσταντόπουλος Ketua Koalisi Kiri, Gerakan dan EkologiMasa jabatan1993–2004 PendahuluMaria DamanakiPenggantiAlekos AlavanosMenteri Dalam Negeri dan Rekonstruksi AdministratifMasa jabatan2 Juli 1989 – 12 Oktober 1989Perdana MenteriTzannis Tzannetakis PendahuluPanagiotis MarkopoulosPenggantiVassilios Skouris Informasi pribadiLahir8 Juni 1942 (umur 81)Krestena, YunaniPartai politikUni Tengah (sebelum 1974)Gerakan Sosialis Pan-Yuna...

 

2022 United States Senate election in Georgia

See also: 2022 United States Senate elections 2022 United States Senate election in Georgia ← 2020–21 (special) November 8, 2022 (first round)December 6, 2022 (runoff) 2028 →   Candidate Raphael Warnock Herschel Walker Party Democratic Republican First round 1,946,11749.44% 1,908,44248.49% Runoff 1,820,63351.40% 1,721,24448.60% First round county results First round precinct results Runoff county results Runoff congressional district results Runoff precinct resul...

 

Janapada

Major realms of Vedic India, c. 1500–600 BCE For the film, see Janapada (film). Janapada Late Vedic era map showing the boundaries of Āryāvarta with Janapadas in northern India. Beginning of Iron Age kingdoms in India— Kuru, Panchala, Kosala, Videha. This detailed map shows the locations of kingdoms and republics mentioned in the Indian epics or Bharata Khanda. History of South Asia Outline Palaeolithic (2,500,000–250,000 BC) Madrasian culture Soanian culture Neolithic (10,800–3300 ...

Comté de Jefferson (New York)

Pour les articles homonymes, voir Comté de Jefferson. Cet article est une ébauche concernant l'État de New York. Vous pouvez partager vos connaissances en l’améliorant (comment ?) selon les recommandations des projets correspondants. Comté de Jefferson(en) Jefferson County Vue panoramique du Château Boldt sur Heart Island Administration Pays États-Unis État New York Chef-lieu Watertown Fondation 1805 Démographie Population 116 721 hab. (2020) Densité 35 hab./k...

 

Spirale de Fraser

Spirale de Fraser. La spirale de Fraser est une illusion d'optique qui tient son nom du psychologue britannique James Fraser, qui l'étudia le premier en 1908. On l'appelle aussi « fausse spirale », ou, d'après son nom originel, « illusion des cordes emmêlées ». Bien que composée de cercles concentriques, l'image donne l'impression d'une spirale sans fin. Ceci est dû au fait que des motifs réguliers (les cercles) sont combinés avec un motif non aligné (les band...

 

The Young Graduates

1971 film directed by Robert Anderson The Young GraduatesTheatrical release posterDirected byRobert AndersonScreenplay byDave DixonStory byRobert AndersonTerry AndersonProduced byRobert AndersonTerry AndersonWilliam M. AndersonStarringPatricia WymerSteven StewartGary RistBruno KirbyJennifer RittDennis ChristopherMarly HolidayCinematographyJ. Barry HerronJohn TollEdited byWilliam M. AndersonMusic byRay MartinProductioncompanyTempo EnterprisesDistributed byCrown International PicturesRelease da...

Levante Unión Deportiva 2021-2022

Questa voce sull'argomento stagioni delle società calcistiche spagnole è solo un abbozzo. Contribuisci a migliorarla secondo le convenzioni di Wikipedia. Voce principale: Levante Unión Deportiva. Levante Unión DeportivaStagione 2021-2022 Sport calcio Squadra Levante Allenatore Paco López (fino al 3 ottobre) Javier Pereira (fino al 29 novembre) Alessio Lisci Presidente Quico Catalán Primera División19°,retrocesso in Segunda División Coppa del ReSecondo turno Maggiori presen...

 

Tarquinio Merula

Italian composer Tarquinio MerulaBackground informationBorn(1595-11-24)24 November 1595Busseto, ItalyDied10 December 1665(1665-12-10) (aged 70)Cremona, ItalyGenresBaroqueOccupation(s)Composer, organist, violinistInstrument(s)OrganviolinYears active1616–1665Musical artist Tarquinio Merula (24 November 1595 – 10 December 1665) was an Italian composer, organist, and violinist of the early Baroque era. Although mainly active in Cremona, stylistically he was a member of the Venetian schoo...

 

The League (app)

Social and dating mobile application The LeagueInitial releaseJanuary 17, 2015; 9 years ago (2015-01-17)Operating systemiOS, AndroidWebsitewww.theleague.com The League is a social and dating mobile application launched in 2015 and available in several cities all over the world on iOS and Android. History The League App was founded in 2014 by Amanda Bradford, who also serves as its CEO.[1][2] She conceived of the app after growing frustrated with her own onlin...

Silungkang, Sawahlunto

artikel ini perlu dirapikan agar memenuhi standar Wikipedia. Tidak ada alasan yang diberikan. Silakan kembangkan artikel ini semampu Anda. Merapikan artikel dapat dilakukan dengan wikifikasi atau membagi artikel ke paragraf-paragraf. Jika sudah dirapikan, silakan hapus templat ini. (Pelajari cara dan kapan saatnya untuk menghapus pesan templat ini) Artikel ini tidak memiliki referensi atau sumber tepercaya sehingga isinya tidak bisa dipastikan. Tolong bantu perbaiki artikel ini dengan menamba...

 

Caracas

Capital and largest city of Venezuela Capital city in Capital District, VenezuelaCaracasCapital citySantiago de León de Caracas(From top, left to right) Plaza Venezuela; Plaza Francia; Parque Cristal in Los Palos Grandes; Nuestra Señora de Lourdes Church; Parque Central Complex FlagCoat of armsNicknames: La Sucursal del CieloLa Ciudad de la Eterna PrimaveraLa Odalisca del ÁvilaLa Sultana del ÁvilaMotto: Seguid El Ejemplo Que Caracas Dio. (Then Follow the Example that Caracas Gav...

 

Cantigas de Santa Maria

Collection of Galician canticles (songs with music), preserved in several manuscripts An illustration from the E codex of the Cantigas de Santa Maria. The Cantigas de Santa Maria (Galician: [kanˈtiɣɐz ðɪ ˈsantɐ maˈɾi.ɐ], Portuguese: [kɐ̃ˈtiɣɐʒ ðɨ ˈsɐ̃tɐ mɐˈɾi.ɐ]; Canticles of Holy Mary) are 420 poems with musical notation, written in the medieval Galician-Portuguese language during the reign of Alfonso X of Castile El Sabio (1221–1284). Traditionall...

世界政區索引

此條目可能包含不适用或被曲解的引用资料，部分内容的准确性无法被证實。 (2023年1月5日)请协助校核其中的错误以改善这篇条目。详情请参见条目的讨论页。 各国相关 主題列表 索引 国内生产总值 石油储量 国防预算 武装部队（军事） 官方语言 人口統計 人口密度 生育率 出生率 死亡率 自杀率 谋杀率 失业率 储蓄率 识字率 出口额 进口额 煤产量 发电量 监禁率 死刑 国债 ...

 

哈萨克斯坦总统

此条目序言章节没有充分总结全文内容要点。 (2019年3月21日)请考虑扩充序言，清晰概述条目所有重點。请在条目的讨论页讨论此问题。 哈萨克斯坦總統哈薩克總統旗現任Қасым-Жомарт Кемелұлы Тоқаев卡瑟姆若马尔特·托卡耶夫自2019年3月20日在任任期7年首任努尔苏丹·纳扎尔巴耶夫设立1990年4月24日（哈薩克蘇維埃社會主義共和國總統） 哈萨克斯坦 哈萨克斯坦政府...

 

King's Printer

The King's Printer (known as the Queen's Printer during the reign of a female monarch) is typically a bureau of the national, state, or provincial government responsible for producing official documents issued by the King-in-Council, Ministers of the Crown, or other departments. The position is defined by letters patent under the royal prerogative in various Commonwealth realms. Canada Federal The King's Printer for Canada, so titled as to distinguish it from the equivalent position in each ...

Toxicity

Degree of harmfulness of substances For the album, see Toxicity (album). For the song, see Toxicity (song). Toxic redirects here. For other uses, see Toxic (disambiguation). This article may need to be rewritten to comply with Wikipedia's quality standards. You can help. The talk page may contain suggestions. (January 2022) Medical conditionToxicityThe skull and crossbones is a common symbol for toxicity. Toxicity is the degree to which a chemical substance or a particular mixture of substanc...

 

Естери

Запит «Естер» перенаправляє сюди; див. також Естер (значення). Загальна будова естерів Есте́ри (також складні́ ефі́ри) — клас органічних сполук, похідні кислоти (органічної або неорганічної), в якій атом водню (H) принаймні однієї кислотної гідроксильної групи (-OH) цієї кис�...

 

Stasiun Takadanobaba

35°42′46″N 139°42′14″E / 35.71278°N 139.70389°E / 35.71278; 139.70389 Stasiun Takadanobaba高田馬場駅Peron Jalur Seibu di Stasiun TakadanobabaLokasiPrefekturTokyo(Lihat stasiun lainnya di Tokyo)Distrik kotaShinjukuSejarahDibuka1910Layanan kereta apiOperatorJR East, Seibu, Tokyo MetroJalurJalur YamanoteJalur ShinjukuJalur Tōzai Stasiun Takadanobaba (高田馬場駅code: ja is deprecated , Takadanobaba-eki) adalah stasiun kereta api yang terletak di Taka...

Intan

Untuk kegunaan lain, lihat Intan (disambiguasi). Intan yang sudah diasah (berlian). Intan atau berlian (bahasa Belanda: briljant) adalah benda berharga mineral yang secara kimia merupakan bentuk kristal, atau alotrop, dari karbon. Intan terkenal karena memiliki sifat-sifat fisika yang istimewa, terutama faktor kekerasannya yang bisa mencapai skala kekerasan Mohs tingkat tertinggi (10) dan kemampuannya mendispersikan cahaya. Sifat-sifat ini yang membuat intan digunakan dalam perhiasan dan berb...

 

Montanisme

Montanisme adalah sebuah gerakan sektarian Kristen perdana pada pertengahan abad ke-2 Masehi, yang dinamai seturut pendirinya Montanus. Gerakan ini berkembang umumnya di daerah Frigia dan sekitarnya; di sini sebelumnya pengikutnya disebut Katafrigia. Namun gerakan ini merebak cepat ke wilayah-wilayah lain di Kekaisaran Romawi, dan pada suatu masa sebelum agama Kristen ditolerir atau dianggap legal. Meskipun Gereja Kristen arus utama menang atas Montanisme dalam beberapa generasi, dan mencapny...