Filling area conjecture and ovalless real hyperelliptic surfaces
نویسندگان
چکیده
منابع مشابه
Filling Area Conjecture and Ovalless Real Hyperelliptic Surfaces
We prove the filling area conjecture in the hyperelliptic case. In particular, we establish the conjecture for all genus 1 fillings of the circle, extending P. Pu’s result in genus 0. We translate the problem into a question about closed ovalless real surfaces. The conjecture then results from a combination of two ingredients. On the one hand, we exploit integral geometric comparison with orbif...
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Let K be a field of characteristic different from 2, and let f(x) be a sextic polynomial irreducible over K with no repeated roots, whose Galois group is A5. If the Jacobian of the hyperelliptic curve y = f(x) admits real multiplication over the ground field from an order of a real quadratic number field, then either its endomorphism algebra is this quadratic field or the Jacobian is supersingu...
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ژورنال
عنوان ژورنال: GAFA Geometric And Functional Analysis
سال: 2005
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-005-0517-8