Quotients of products of curves, new surfaces with <i>p<sub>g</sub></i> = 0 and their fundamental groups.
نویسندگان
چکیده
منابع مشابه
QUOTIENTS OF PRODUCTS OF CURVES, NEW SURFACES WITH pg = 0 AND THEIR FUNDAMENTAL GROUPS
We construct many new surfaces of general type with q = pg = 0 whose canonical model is the quotient of the product of two curves by the action of a finite group G, constructing in this way many new interesting fundamental groups which distinguish connected components of the moduli space of surfaces of general type. We indeed classify all such surfaces whose canonical model is singular (the smo...
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Quotients of a Product of Curves by a Finite Group and Their Fundamental Groups
Introduction 1 1. Notation 8 2. Finite group action on products of curves 9 3. The fundamental group of (C1 × C2)/G. 12 4. The structure theorem for fundamental groups of quotients of products of curves 14 5. The classification of standard isotrivial fibrations with pg = q = 0 where X = (C1 × C2)/G has rational double points 20 5.1. The singularities of X 21 5.2. The signatures 23 5.3. The poss...
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15 صفحه اولWild Quotients of Products of Curves
Let k be an algebraically closed field of characteristic p > 0. Let B1/k and B2/k be two smooth proper connected curves, each endowed with an automorphism σi : Bi → Bi of order p. Let Y := B1 × B2, and let σ : Y → Y be the automorphism σ1 × σ2. We show that the graph of the resolution of the singularities of Y/ 〈σ〉 when B2 is an ordinary curve of positive genus is a star-shaped graph with three...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2012
ISSN: 1080-6377
DOI: 10.1353/ajm.2012.0029