Second flip in the Hassett-Keel program: a local description
Date
2017
Authors
Alper, Jarod
Fedorchuk, Maksym
Smyth, David
van der Wyck, Frederick
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London Mathematical Society
Abstract
This is the first of three papers in which we give a moduli interpretation of the second flip in the log minimal model program for , replacing the locus of curves with a genus Weierstrass tail by a locus of curves with a ramphoid cusp. In this paper, for , we introduce new -stability conditions for curves and prove that they are deformation open. This yields algebraic stacks related by open immersions . We prove that around a curve corresponding to a closed point in , these open immersions are locally modeled by variation of geometric invariant theory for the action of on the first-order deformation space of C.
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Compositio Mathematica
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Journal article
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2037-12-31
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