WebDOI: 10.1007/s00222-006-0511-2 Invent. math. 165, 651–672 (2006) Teichmüller curves in genus two: Torsion divisors and ratios of sines Curtis T. McMullen WebApr 13, 2024 · The consequence of the massive increase in population in recent years is the enormous production of mainly industrial waste. The effort to minimize these waste products is, therefore, no longer sufficient. Biotechnologists, therefore, started looking for ways to not only reuse these waste products, but also to valorise them. This work focuses …
Some genus 3 curves with many points — the University of …
WebFor n= 3,5, and 7, we give arithmetic examples of curves whose Jacobians are (n,n)-decomposable. 1. Introduction Curves of genus 2 with non-simple Jacobians are of much interest. Their Jacobians have large torsion subgroups, e.g. Howe, Lepr´evost, and Poonen have found a family of genus 2 curve with 128 rational points in its Jacobian, see (5). Webof primitive Teichmu¨ller curves in genus two. Theorem 1.1 The decagon form ω = dx/y on the curve y2 = x(x5 −1) gen-erates the only primitive Teichmu¨ller curve f : V →M2 coming from a form with simple zeros. In contrast to this uniqueness, in genus two there are countably many prim-itive Teichmu¨ller curves coming from forms with ... northern reflections tillsonburg hours
Genus of a curve - Encyclopedia of Mathematics
WebSome genus 3 curves with many points Roland Auer1 and Jaap Top2 1 Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, … WebSo the idea is clear for non-singular curves. However, the genus turns out to be a birational invariant of curves (in particular, invariant under deletion of finitely many points), so it is … WebThe genus g of a plane curve of degree d with only ordinary multiple points equals g = d−1 2 − X P m(P) 2 where the sum is over the multiple points P (with multiplicity m(P)). For … northern reflections tillsonburg ontario