Under LMMP and log resolution assumptions in dimension n, the moduli part is nef up to birational map for dlt pairs with f-nef K_X + B over perfect fields of char p>2; unconditional in dimension 3 for p>5.
Algebraic geometry
4 Pith papers cite this work. Polarity classification is still indexing.
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Classifies P¹-bundles over non-rational geometrically ruled surfaces with relatively maximal connected automorphism groups relative to Bir(X/S).
Two desingularization constructions for coherent sheaves on stacks are used to define reduced Gromov-Witten invariants of GIT quotients in higher genera.
Using algebraic geometry, the authors derive an explicit upper bound on the refinement parameter k for which the k-th homothetic refinement of a genus-g graph has a divisor of degree d and rank at least r.
citing papers explorer
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On the canonical bundle formula in positive characteristic
Under LMMP and log resolution assumptions in dimension n, the moduli part is nef up to birational map for dlt pairs with f-nef K_X + B over perfect fields of char p>2; unconditional in dimension 3 for p>5.
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Automorphism groups of $\mathbb{P}^1$-bundles over geometrically ruled surfaces
Classifies P¹-bundles over non-rational geometrically ruled surfaces with relatively maximal connected automorphism groups relative to Bir(X/S).
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Higher genus reduced Gromov--Witten invariants via desingularizations of sheaves
Two desingularization constructions for coherent sheaves on stacks are used to define reduced Gromov-Witten invariants of GIT quotients in higher genera.
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Bounding the number of graph refinements for Brill-Noether existence
Using algebraic geometry, the authors derive an explicit upper bound on the refinement parameter k for which the k-th homothetic refinement of a genus-g graph has a divisor of degree d and rank at least r.