Computer Aided Algebraic Geometry
Computer Aided Algebraic Geometry
Computer Aided Algebraic Geometry
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Surfaces isogenous to a product<br />
<strong>Computer</strong><br />
<strong>Aided</strong><br />
<strong>Algebraic</strong><br />
<strong>Geometry</strong><br />
R. Pignatelli<br />
Surfaces<br />
Invariants<br />
A surface is isogenous to a (higher) product if<br />
S = (C 1 × C 2 )/G where C i are Riemann Surfaces of genus<br />
g i ≥ 2 and G is a group acting freely; S is automatically<br />
minimal of general type with K 2 = 8χ.<br />
Quasi-étale<br />
quotients<br />
Definitions<br />
Computing<br />
invariants<br />
<strong>Computer</strong><br />
Calculations<br />
The Algorithms<br />
Classification<br />
Results<br />
Open<br />
Problems<br />
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