Results 1 to 10 of about 178 (128)
On Convolutions of Algebraic Curves
Journal of Symbolic Computation, 2010 We focus on the investigation of relations between plane algebraic curves and their convolution. Since the convolution of irreducible algebraic curves is not necessarily irreducible, an upper bound for the number of components is given.
Miroslav Lávička, Jan Vršek
exaly +3 more sources
Weierstrass cycles and tautological rings in various moduli spaces of algebraic curves [PDF]
Journal of Fixed Point Theory and Applications, 2015 We analyze Weierstrass cycles and tautological rings in moduli spaces of smooth algebraic curves and in moduli spaces of integral algebraic curves with embedded disks with special attention to moduli spaces of curves having genus less than or equal to 6.
J. Liou, A. Schwarz, Renjun Xu
semanticscholar +2 more sources
A note on Brill--Noether existence for graphs of low genus [PDF]
, 2016 In an influential 2008 paper, Baker proposed a number of conjectures relating the divisor theory of algebraic curves with an analogous combinatorial theory on finite graphs. In this note, we examine Baker's Brill--Noether existence conjecture for special
Stanislav Atanasov, Dhruv Ranganathan
semanticscholar +1 more source
Hamiltonian Floer theory on surfaces [PDF]
, 2021 Dans cette thèse, nous développons de nouveaux outils pour relier les dynamiques qualitatives des systèmes hamiltoniens sur des surfaces aux propriétés algèbriques de leurs complexes de Floer - un objet algébrique qui encode l'information sur la façon ...
Connery-Grigg, Dustin
core +1 more source
Ulrich bundles on K3 surfaces [PDF]
Algebra & Number Theory, 2018 We show that any polarized K3 surface supports special Ulrich bundles of rank 2. Given an n-dimensional closed subvariety X ⊂ P , a coherent sheaf F on X is Ulrich if H(F (−t)) = 0 for n consecutive values of t .
D. Faenzi
semanticscholar +1 more source
Uniform Bounds for the Number of Rational Points on Symmetric Squares of Curves with Low Mordell-Weil Rank [PDF]
, 2017 A central problem in Diophantine geometry is to uniformly bound the number of $K$-rational points on a smooth curve $X/K$ in terms of $K$ and its genus $g$.
Sameera Vemulapalli, Danielle Wang
semanticscholar +1 more source
Trace zero varieties in cryptography : optimal representation and index calculus [PDF]
, 2014 The trace zero variety associated to an elliptic or hyperelliptic curve is an abelian variety defined over a finite field F_q. Its F_q-rational points yield a finite group, the trace zero subgroup of the degree zero Picard group of the original curve ...
Massierer, Maike
core +1 more source
Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source
Arithmetic Groups vs. Mapping Class Groups: Similarities, Analogies and Differences
, 2011 Arithmetic groups arise naturally in many fields such as number theory, algebraic geometry, and analysis. Mapping class groups arise in both low dimensional topology and geometric group theory.
B. Farb +3 more
semanticscholar +1 more source
Synchronization of Analog Neuron Circuits With Digital Memristive Synapses: An Hybrid Approach
Advanced Electronic Materials, EarlyView.An hybrid circuit mimicking neural units coupled using memristive synapses is introduced. The analog neurons provide flexibility and robustness, and the digital memristive coupling guarantees the full reconfigurability of the interconnection. The onset of a synchronized spiking behavior in two circuits mimicking the Izhikevich neuron is discussed from ...
Lamberto Carnazza +3 more
wiley +1 more source