Results 21 to 30 of about 10,730 (112)

Sutured Heegaard diagrams for knots [PDF]

, 2006
We define sutured Heegaard diagrams for null-homologous knots in 3-manifolds. These diagrams are useful for computing the knot Floer homology at the top filtration level. As an application, we give a formula for the knot Floer homology of a Murasugi sum.
Burde, Eftekhary, Gabai, Gabai, Gabai, Ozsváth, Ozsváth, Ozsváth, Ozsváth, Rolfsen, Stallings, Yi Ni   +11 more
core   +5 more sources

On totally geodesic submanifolds in the Jacobian locus [PDF]

, 2015
We study submanifolds of A_g that are totally geodesic for the locally symmetric metric and which are contained in the closure of the Jacobian locus but not in its boundary.
Alessandro Ghigi, Colombo E., Elisabetta Colombo, Lamotke K., Moonen B., Moonen B., Paola Frediani   +6 more
core   +4 more sources

Affine geometry of strata of differentials

, 2017
Affine varieties among all algebraic varieties have simple structures. For example, an affine variety does not contain any complete algebraic curve. In this paper we study affine related properties of strata of $k$-differentials on smooth curves which ...
Chen, Dawei
core   +1 more source

Discrete logarithms in curves over finite fields [PDF]

, 2007
A survey on algorithms for computing discrete logarithms in Jacobians of curves over finite ...
Andreas Enge, Andreas Enge, Andreas Enge, Discrete Gary, L. Mullen   +4 more
core   +5 more sources

Scrolls and hyperbolicity [PDF]

, 2011
Using degeneration to scrolls, we give an easy proof of non-existence of curves of low genera on general surfaces in P3 of degree d >=5. We show, along the same lines, boundedness of families of curves of small enough genera on general surfaces in P3. We
Ciliberto, Ciro, Zaidenberg, Mikhail
core  

Generalised Elliptic Functions

, 2011
We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to the period matrices associated with classes of algebraic curves.
A. Nakayashiki, C. Athorne, C. Athorne, C. Athorne, C. Athorne, Chris Athorne, H. McKean, H.F. Baker, H.F. Baker, H.F. Baker, H.M. Farkas, J.C. Eilbeck, J.C. Eilbeck, J.W.S. Cassels, K. Cho, M. England, M. England, M. England, M. England, Matthew England, R.K. Dodd, S. Baldwin, S. Baldwin, S. Lang, V.M. Buchstaber, V.M. Buchstaber, V.M. Buchstaber, V.Z. Enolskii, V.Z. Enolskii   +28 more
core   +1 more source

Rank of divisors on graphs: an algebro-geometric analysis [PDF]

, 2012
The divisor theory for graphs is compared to the theory of linear series on curves through the correspondence associating a curve to its dual graph.
Caporaso, Lucia
core  

P^r-scrolls arising from Brill-Noether theory and K3-surfaces

, 2010
In this paper we study examples of P^r-scrolls defined over primitively polarized K3 surfaces S of genus g, which arise from Brill-Noether theory of the general curve in the primitive linear system on S and from classical Lazarsfeld's results in.
Flamini, Flaminio
core   +1 more source

On Spatial Point Processes With Composition‐Valued Marks

International Statistical Review, EarlyView.
Summary Methods for marked spatial point processes with scalar marks have seen extensive development in recent years. While the impressive progress in data collection and storage capacities has yielded an immense increase in spatial point process data with highly challenging non‐scalar marks, methods for their analysis are not equally well developed ...
Matthias Eckardt, Mari Myllymäki, Sonja Greven   +2 more
wiley   +1 more source

A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces

International Statistical Review, EarlyView.
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri, Bernardo Nipoti, Emilio Porcu, Philip White   +3 more
wiley   +1 more source