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比利时vs摩洛哥足彩 ,
university of california san diego

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algebraic geometry seminar

dr. giovanni inchiostro

university of washington

degenerations of twisted maps to algebraic stacks

abstract:

assume that one has a family of nodal curves over the punctured disc c^*\to \delta^*, with a morphism c^*\to \calm  to an algebraic stack \calm with a projective good moduli space. i will explain how one can, up to replacing the punctured disc with a ramified cover of it, compactify this family to a family of nodal (twisted) curves over the whole disc c\to \delta, in a way such that the generic morphism c^*\to \calm extends to c.

 

for example, in the case where \calm = bpgl_n, this gives a recipe to extend fibrations in brauer-severi varieties, whereas for \calm = [a^1/gm] this gives a way to extend families of line bundles with a section. the talk is based on a joint work with andrea di lorenzo.

april 28, 2023

3:30 pm

https://ucsd.zoom.us/j/95039486629

meeting id: 950 3948 6629

research areas

algebraic geometry

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