Relative enumerative invariants of real nodal del Pezzo surfaces
نویسندگان
چکیده
منابع مشابه
The 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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The Welschinger invariants of real rational algebraic surfaces are natural analogues of the Gromov-Witten invariants, and they estimate from below the number of real rational curves passing through prescribed configurations of points. We establish a tropical formula for the Welschinger invariants of four toric Del Pezzo surfaces, equipped with a non-standard real structure. Such a formula for r...
متن کاملLog Canonical Thresholds of Del Pezzo Surfaces
, or there are 22 possibilities for (a0, a1, a2, a3) found in [28]. It follows from [12], [28], [4], [1] that the inequality lct(X) > 2/3 holds in the case when X is singular and general. Example 1.4. Let X be a quasismooth hypersurface in P(a0, . . . , a4) of degree ∑4 i=0 ai − 1, where a0 6 a1 6 a2 6 a3 6 a4. Then lct(X) > 3/4 for 1936 values of (a0, a1, a2, a3, a4) (see [29]). Example 1.5. L...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2018
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-018-0418-y