منابع مشابه
Nonnormal Del Pezzo Surfaces
0.1 Throughout this paper, a del Pezzo surface is by definition a connected, 2-dimensional, projective k-scheme X,OX(1) that is Gorenstein and anticanonically polarised; in other words, X is Cohen–Macaulay, and the dualising sheaf is invertible and antiample: ωX ∼= OX(−1). For example, X = X3 ⊂ P 3 an arbitrary hypersurface of degree 3. Under extra conditions, del Pezzo surfaces are interesting...
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By a theorem of Wahl, the canonically embedded curves which are hyperplane section of K3 surfaces are distinguished by the non-surjectivity of their Wahl map. In this paper we address the problem of distinguishing hyperplane sections of abelian surfaces. The somewhat surprising result is that the Wahl map of such curves is (tendentially) surjective, but their second Wahl map has corank at least...
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Recall that a Del Pezzo surface is defined as an algebraic surface with ample anticanonical bundle K. Ampleness means that the line bundle K has a hermitian metric whose curvature form F is positive, defining a Kähler metric g0. This is the data for our construction – we take a holomorphic section σ of K, and the function f = log ‖σ‖. This function is singular on the zero set of σ (which is an ...
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In this paper we show that del Pezzo surfaces of degree 1 with Du Val singular points of type A4, A4 + A4, A4 + A3, A4 + 2A1, A4 + A1, A3 + 4A1, A3 + 3A1, 2A3 + 2A1, A3 + 2A1, A3 + A1, 2A3, A3, admit a Kähler-Einstein metric. Moreover we are going to compute global log canonical thresholds of del Pezzo surfaces of degree 1 with Du Val singularities, and of del Pezzo surfaces of Picard group Z w...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1997
ISSN: 0025-5645
DOI: 10.2969/jmsj/04930501