Weierstrass points on arithmetic surfaces.
Weierstrass points on schemes.
Weierstrass points on trigonal curves of genus five
Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve
2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14H40, 20M14.Let H be a 4-semigroup, i.e., a numerical semigroup whose minimum positive element is four. We denote by 4r(H) + 2 the minimum element of H which is congruent to 2 modulo 4. If the genus g of H is larger than 3r(H) − 1, then there is a cyclic covering π : C −→ P^1 of curves with degree 4 and its ramification point P such that the Weierstrass semigroup H(P) of P is H (Komeda [1]). In this paper it is showed that...
Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve II
2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14J26.A 4-semigroup means a numerical semigroup whose minimum positive integer is 4. In [7] we showed that a 4-semigroup with some conditions is the Weierstrass semigroup of a ramification point on a double covering of a hyperelliptic curve. In this paper we prove that the above statement holds for every 4-semigroup.
Weierstrass semigroups and the canonical ideal of non-trigonal curves.
Weierstrass Weight of Gorenstein Singularities with one or two branches.
Weighted cohomology.
Weighted complete intersections and lattice points.
Weighted Gaussian maps.
Weighted intersection numbers on Hilbert modular surfaces
Weights in cohomology and the Eilenberg-Moore spectral sequence
We show that in the category of complex algebraic varieties, the Eilenberg–Moore spectral sequence can be endowed with a weight filtration. This implies that it degenerates if all spaces involved have pure cohomology. As application, we compute the rational cohomology of an algebraic -variety ( being a connected algebraic group) in terms of its equivariant cohomology provided that is pure. This is the case, for example, if is smooth and has only finitely many orbits. We work in the category...
Weights in rigid cohomology applications to unipotent -isocrystals
Weights in the cohomology of toric varieties
We describe the weight filtration in the cohomology of toric varieties. We present a role of the Frobenius automorphism in an elementary way. We prove that equivariant intersection homology of an arbitrary toric variety is pure. We obtain results concerning Koszul duality: nonequivariant intersection cohomology is equal to the cohomology of the Koszul complexIH T*(X)⊗H*(T). We also describe the weight filtration inIH *(X).
Weights of exponential sums, intersection cohomology, and Newton polyhedra.
Weights of Weierstrass Points in Double Coverings of Curves of Genus One or Two.
Weil-Châtelet groups over local fields
Weil-Châtelet groups over local fields : addendum
Welschinger invariants of small non-toric Del Pezzo surfaces
We give a recursive formula for purely real Welschinger invariants of the following real Del Pezzo surfaces: the projective plane blown up at real and pairs of conjugate imaginary points, where , and the real quadric blown up at pairs of conjugate imaginary points and having non-empty real part. The formula is similar to Vakil’s recursive formula [22] for Gromov–Witten invariants of these surfaces and generalizes our recursive formula [12] for purely real Welschinger invariants of real toric...
Werte hypergeometrischer Funktionen.