Relative duality for quasi-coherent sheaves
Steven L. Kleiman (1980)
Compositio Mathematica
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Steven L. Kleiman (1980)
Compositio Mathematica
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Martin Olsson (2012)
Annales de l’institut Fourier
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Given a finite tame group scheme , we construct compactifications of moduli spaces of -torsors on algebraic varieties, based on a higher-dimensional version of the theory of twisted stable maps to classifying stacks.
Adrian Langer (2011)
Annales de l’institut Fourier
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We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.
Allen B. Altman, Raymond T. Hoobler, Steven L. Kleiman (1973)
Compositio Mathematica
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Bryden Cais (2009)
Annales de l’institut Fourier
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For a smooth and proper curve over the fraction field of a discrete valuation ring , we explain (under very mild hypotheses) how to equip the de Rham cohomology with a : an -lattice which is functorial in finite (generically étale) -morphisms of and which is preserved by the cup-product auto-duality on . Our construction of this lattice uses a certain class of normal proper models of and relative dualizing sheaves. We show that our lattice naturally contains the lattice...
Stein Strømme (1996)
Banach Center Publications
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The purpose of this paper is to define and prove the existence of the Hilbert scheme. This was originally done by Grothendieck in [4]. A simplified proof was given by Mumford [11], and we will basically follow that proof, with small modifications.