Results 31 to 40 of about 407 (175)

Abelian functions associated with a cyclic tetragonal curve of genus six [PDF]

, 2009
We develop the theory of Abelian functions defined using a tetragonal curve of genus six, discussing in detail the cyclic curve y^4 = x^5 + λ[4]x^4 + λ[3]x^3 + λ[2]x^2 + λ[1]x + λ[0].
Eilbeck, J. C., Eilbeck, J.C., England, M.   +2 more
core   +1 more source

The primitive cohomology of the theta divisor of an abelian fivefold [PDF]

, 2017
The primitive cohomology of the theta divisor of a principally polarized abelian variety of dimension g g contains a Hodge structure of level g − 3 g-3 which we call the primal cohomology.
Wang, J, Izadi, E, Tamás, Cs
core   +1 more source

The desingularization of the theta divisor of a cubic threefold as a moduli space

, 2022
We show that the moduli space $\overline{M}_X(v)$ of Gieseker stable sheaves on a smooth cubic threefold $X$ with Chern character $v = (3,-H,-H^2/2,H^3/6)$ is smooth and of dimension four. Moreover, the Abel-Jacobi map to the intermediate Jacobian of $X$
Schmidt, Benjamin, Hein, Georg, Rezaee, Fatemeh, Bayer, Arend, Beentjes, Sjoerd, Martinelli, Diletta, Feyzbakhsh, Soheyla   +6 more
core   +1 more source

Discriminant of theta divisors and Quillen metrics [PDF]

Journal of Differential Geometry, 1999
AMS-Tex, J. Diff. Geom. (to appear)
openaire   +4 more sources

Bilinear recurrences and addition formulae for hyperelliptic sigma functions [PDF]

, 2005
The Somos 4 sequences are a family of sequences satisfying a fourth order bilinear recurrence relation. In recent work, one of us has proved that the general term in such sequences can be expressed in terms of the Weierstrass sigma function for an ...
Victor Z Enolskii, Andrew N. W. Hone, Victor Z. Enolskii, Enolskii, V.Z., Hone, A. N W, Harry W. Braden, Harry W Braden, Andrew N W Hone, Braden, H.W., Enolskii, V. Z, Hone, Andrew N.W., Braden, Harry W.   +11 more
core   +1 more source

A Torelli theorem for graphs via quasistable divisors

Forum of Mathematics, Sigma
The Torelli theorem establishes that the Jacobian of a smooth projective curve, together with the polarization provided by the theta divisor, fully characterizes the curve.
Alex Abreu, Marco Pacini
doaj   +1 more source

On two theta function identities of Ramanujan [PDF]

, 2022
On page 310 of his second notebook, Ramanujan recorded two theta function identities. B. C. Berndt proved them by the method of parameterization. The purpose of this article is to give an elementary proof for those two identities and also we have ...
Vasuki, K. R., Vijaya Shankar, A. I.
core   +1 more source

The theta divisor and the Stickelberger theorem [PDF]

Proceedings of the American Mathematical Society, 2005
This paper is devoted to studying certain trivial correspondences provided by theta divisors and their relation to the Brumer-Stark conjecture.
openaire   +1 more source

Arc‐ZTE: Continuously‐Slewed Zero‐TE Imaging With Incoherent Temporal Sampling for Near‐Silent Dynamic MRI

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To enable flexible dynamic and DCE MRI with low acoustic noise and high spatiotemporal resolution using zero echo time (ZTE) imaging. Methods This work proposes Arc‐ZTE, a technique in which the readout gradients of ZTE are continuously‐slewed to form arcs in k‐space that are sequentially rotated to yield an incoherent trajectory ...
Shreya Ramachandran, Tobias C. Wood, Gavin Zhang, Ali B. Syed, Shreyas S. Vasanawala, Michael Lustig   +5 more
wiley   +1 more source

Moduli of symplectic bundles over curves [PDF]

, 2005
Let Х be a complex projective smooth irreducible curve of genus g. We begin by giving background material on symplectic vector bundles and principal bundles over X and introduce the moduli spaces we will be studying, In Chapter 2 we describe the stable ...
Hitching, George H., Hitching, George H, George H. Hitching   +2 more
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