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Работы, которые можно читать здесь по теме «Алгебраическая геометрия»

Алгебраическая геометрия ×

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Some examples of algebraic groups

24 авг. 2026 г.ТеорияSean Cotner

Two pathological phenomena for algebraic groups over general bases — a group degenerating between the multiplicative and additive group across a DVR, and a non-affine identity component — built as centralizers in SL_n.

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An example of a non-reduced Picard scheme

24 авг. 2026 г.ТеорияSean Cotner

An example, due to Serre, of a smooth projective surface in positive characteristic whose Picard scheme fails to be reduced, worked out via the two governing dimension inequalities.
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A curiosity: “supersmooth” varieties

24 авг. 2026 г.ТеорияSean Cotner

A rigidity condition on schemes, strictly stronger than smoothness, introduced with examples and a look at where it fails to be geometric — no known application, just a curiosity.
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The torsion component of the Picard scheme

29 июл. 2026 г.ДругоеBogdan Zavyalov

Every finite flat commutative group scheme over a noetherian local ring is the torsion component of the Picard scheme of a smooth projective scheme with 3-dimensional fibers, built as a quotient of a complete intersection. An application: Hodge numbers that jump in a smooth projective family.
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