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7 papers · 1 filter
Bounding the number of rational places using Weierstrass semigroups
Olav Geil, Ryutaroh Matsumoto
Let Lambda be a numerical semigroup. Assume there exists an algebraic function field over GF(q) in one variable which possesses a rational place that has Lambda as its Weierstrass…
A Note on the Effective Non-vanishing Conjecture
Qihong Xie
We give a reduction of the irregular case for the effective non-vanishing conjecture by virtue of the Fourier-Mukai transform. As a consequence, we reprove that the effective non-v…
Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic
Qihong Xie
We give a theorem on the effective non-vanishing problem for algebraic surfaces in positive characteristic. For the Kawamata-Viehweg vanishing, the logarithmic Kollar vanishing and…
Regularizable cycles associated with a Selberg type integral under some resonance condition
Katsuhisa Mimachi, Masaaki Yoshida
We study the twisted homology group attached to a Selberg type integral under some resonance condition, which naturally appears in the su_2-conformal field theory and the represent…
The arc space of a toric variety
Shihoko Ishii
The Nash problem on arc families is affirmatively answered for a toric variety by Ishii and Kollar's paper which also shows the negative answer for general case. The Nash problem i…
The Nash problem on arc families of singularities
Shihoko Ishii, János Kollár
Nash proved that every irreducible component of the space of arcs through a singularity corresponds to an exceptional divisor that occurs on every resolution. He asked if the conve…