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The Gieseker-Petri divisor in M_g for genus g<=13
Gieseker-Petri divisor M_g for genus g<=13
2011/1/21
The Gieseker-Petri locus GPg is defined as the locus insideMg consisting of curves which violate the Gieseker-Petri Theorem. It is known that GPg has always some divisorial components and it has been ...
Seiberg-Witten \`{a} la Furuta and genus bounds for classes with divisibility
Seiberg-Witten divisibility genus bounds
2010/3/5
Seiberg-Witten \`{a} la Furuta and genus bounds for classes with divisibility。
Fiber sums of genus 2 Lefschetz fibrations
Lefschetz fibrations non-trivia l topologica l phenomena
2010/3/1
Using the recent results of Siebert and Tian about the holomorphicity of genus 2 Lefschetz fibrations with irreducible singular fibers, we show that any genus 2 Lefschetz fibration becomes holomorphic...
Real Aspects of the Moduli Space of Genus Zero Stable Maps
Moduli space of genus zero stable maps real variety real structure
2010/2/26
We show that the moduli space of genus zero stable maps is a real projective variety if the target space is a smooth convex real projective variety. We show that evaluation maps, forgetful maps are re...