Del Pezzo Zoo
نویسندگان
چکیده
We study quasismooth hypersurfaces in P(a0, a1, a2, a3) of degree d < P 3 i=0 ai. All varieties are assumed to be complex, projective and normal.
منابع مشابه
Del Pezzo singularities and SUSY breaking
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متن کاملDegenerations of Del Pezzo Surfaces and Gromov-Witten Invariants of the Hilbert Scheme of Conics
This paper investigates low-codimension degenerations of Del Pezzo surfaces. As an application we determine certain characteristic numbers of Del Pezzo surfaces. Finally, we analyze the relation between the enumerative geometry of Del Pezzo surfaces and the Gromov-Witten invariants of the Hilbert scheme of conics in P .
متن کاملOn the Arithmetic of Del Pezzo Surfaces of Degree 2
Del Pezzo surfaces are smooth projective surfaces, isomorphic over the algebraic closure of the base ,eld to P P or the blow-up of P in up to eight points in general position. In the latter case the del Pezzo surface has degree equal to 9 minus the number of points in the blow-up. The arithmetic of del Pezzo surfaces over number ,elds is an active area of investigation. It is known that the Has...
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This paper explores the computation of the Brauer-Manin obstruction on Del Pezzo surfaces of degree 2, with examples coming from the class of “semi-diagonal” Del Pezzo surfaces of degree 2. It is conjectured that the failure of the Hasse principle for a broad class of varieties, including Del Pezzo surfaces, can always be explained by a nontrivial Brauer-Manin obstruction. We provide computatio...
متن کاملThe Enumerative Geometry of Del Pezzo Surfaces via Degenerations
This paper investigates low-codimension degenerations of Del Pezzo surfaces. As an application we determine certain characteristic numbers of Del Pezzo surfaces. Finally, we analyze the relation between the enumerative geometry of Del Pezzo surfaces and the Gromov-Witten invariants of the Hilbert scheme of conics in P .
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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 22 شماره
صفحات -
تاریخ انتشار 2013