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A classical model for derived critical loci

Abstract:

Let $f:U\to{\mathbb A}^1$ be a regular function on a smooth scheme $U$ over a field $\mathbb K$. Pantev, Toen, Vaquie and Vezzosi (arXiv:1111.3209, arXiv:1109.5213) define the "derived critical locus" Crit$(f)$, an example of a new class of spaces in derived algebraic geometry, which they call "$-1$-shifted symplectic derived schemes". They show that intersections of algebraic Lagrangians in a smooth symplectic $\mathbb K$-scheme, and stable moduli schemes of coherent sheaves on a Calabi-Ya...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Publisher:
International Press Publisher's website
Journal:
Journal of Differential Geometry Journal website
Publication date:
2013-04-16
EISSN:
1945-743X
ISSN:
0022-040X
URN:
uuid:267b8993-772c-46b0-87de-81cc8a736cd2
Source identifiers:
396010
Local pid:
pubs:396010
Keywords:

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