Sekiguchi-Suwa theory revisited

Ariane Mézard; Matthieu Romagny; Dajano Tossici

Displaying similar documents to “Sekiguchi-Suwa theory revisited”

On the structure of the group scheme $ℤ {[ℤ / p^{n}]}^{\times}$

Tsutomu Sekiguchi, Noriyuki Suwa (1995)

Compositio Mathematica

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The set of points at which a morphism of affine schemes is not finite

Zbigniew Jelonek, Marek Karaś (2002)

Colloquium Mathematicae

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Assume that X,Y are integral noetherian affine schemes. Let f:X → Y be a dominant, generically finite morphism of finite type. We show that the set of points at which the morphism f is not finite is either empty or a hypersurface. An example is given to show that this is no longer true in the non-noetherian case.

Vertex algebras and the formal loop space

Mikhail Kapranov, Eric Vasserot (2004)

Publications Mathématiques de l'IHÉS

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We construct a certain algebro-geometric version $ℒ (X)$ of the free loop space for a complex algebraic variety X. This is an ind-scheme containing the scheme $ℒ^{0} (X)$ of formal arcs in X as studied by Kontsevich and Denef-Loeser. We describe the chiral de Rham complex of Malikov, Schechtman and Vaintrob in terms of the space of formal distributions on $ℒ (X)$ supported in $ℒ^{0} (X)$ . We also show that $ℒ (X)$ possesses a factorization structure: a certain non-linear version of a vertex algebra structure. This explains...