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Cubic Fourfolds and the Kuga-Satake Construction.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Cubic Fourfolds and the Kuga-Satake Construction./
作者:	Annunziata, Michael.
面頁冊數:	1 online resource (95 pages)
附註:	Source: Dissertations Abstracts International, Volume: 85-02, Section: A.
Contained By:	Dissertations Abstracts International85-02A.
標題:	Mathematics education. -
電子資源:	click for full text (PQDT)
ISBN:	9798380106269

Cubic Fourfolds and the Kuga-Satake Construction.
Annunziata, Michael.

Cubic Fourfolds and the Kuga-Satake Construction. - 1 online resource (95 pages)

Source: Dissertations Abstracts International, Volume: 85-02, Section: A.

Thesis (Ph.D.)--Michigan State University, 2023.

Includes bibliographical references

Given a \uD835\uDC3E3 surface \uD835\uDC46, the Kuga-Satake construction associates to \uD835\uDC46 an abelian variety \uD835\uDC3E\uD835\uDC46(\uD835\uDC46) known as the Kuga-Satake variety. Many similarities between cubic fourfolds \uD835\uDC4B and \uD835\uDC3E3 surfaces \uD835\uDC46 have been studied, particularly via Hodge theory by Hassett and derived categories by Kuznetsov. We study how the Kuga-Satake construction fits into this theory by studying the Kuga-Satake varieties of cubic fourfolds and their associated \uD835\uDC3E3 surfaces, endormorphism algebras of cubic fourfolds, and the derived category \uD835\uDC37\uD835\uDC4F (\uD835\uDC3E\uD835\uDC46(\uD835\uDC46)).

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9798380106269Subjects--Topical Terms:

1148686
Mathematics education.
Subjects--Index Terms:

Cubic fourfoldsIndex Terms--Genre/Form:

554714
Electronic books.

Cubic Fourfolds and the Kuga-Satake Construction.
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