scholarly journals Ramification points of Seiberg-Witten curves

2011 ◽  
Vol 2011 (7) ◽  
Author(s):  
Chan Y. Park
Keyword(s):  
Ramification Points

Weierstrass multiple points and ramification points of smooth projective curves

1998 ◽  
Vol 174 (1) ◽  
pp. 241-251
Author(s):  
E. Ballico ◽  
C. Keem ◽  
S. J. Kim
Keyword(s):  
Multiple Points ◽  
Projective Curves ◽  
Ramification Points

Concerning a closed subset of a dendroid containing 2-ramification points

1973 ◽  
Vol 27 (2) ◽  
pp. 255-262 ◽  
Author(s):  
Jerry F. Williams
Keyword(s):  
Closed Subset ◽  
Ramification Points

Galois groups ofp-extensions with two ramification points

2000 ◽  
Vol 40 (1) ◽  
pp. 39-47 ◽  
Author(s):  
H. Markšaitis
Keyword(s):  
Galois Groups ◽  
Ramification Points

Common Ramification Points of Pencils on Double Covering Curves

2004 ◽  
Vol 46 (1-2) ◽  
pp. 13-15
Author(s):  
E. Ballico ◽  
C. Keem
Keyword(s):  
Double Covering ◽  
Ramification Points

scholarly journals Shimura curves in the Prym loci of ramified double covers

2021 ◽  
Author(s):  
Paola Frediani ◽  
Gian Paolo Grosselli
Keyword(s):  
Computer Algebra ◽  
Group Action ◽  
Abelian Varieties ◽  
Shimura Curves ◽  
One Dimensional ◽  
Fixed Group ◽  
Base Curve ◽  
Double Covers ◽  
Ramification Points

We study Shimura curves of PEL type in the space of polarized abelian varieties [Formula: see text] generically contained in the ramified Prym locus. We generalize to ramified double covers, the construction done in [E. Colombo, P. Frediani, A. Ghigi and M. Penegini, Shimura curves in the Prym locus, Commun. Contemp. Math. 21(2) (2019) 1850009] in the unramified case and in the case of two ramification points. Namely, we construct families of double covers which are compatible with a fixed group action on the base curve. We only consider the case of one-dimensional families and where the quotient of the base curve by the group is [Formula: see text]. Using computer algebra we obtain 184 Shimura curves contained in the (ramified) Prym loci.

scholarly journals TOPOLOGICAL CLASSIFICATION OF GENERIC REAL RATIONAL FUNCTIONS

2002 ◽  
Vol 11 (07) ◽  
pp. 1063-1075 ◽  
Author(s):  
SERGEI NATANZON ◽  
BORIS SHAPIRO ◽  
ALEK VAINSHTEIN
Keyword(s):  
Rational Function ◽  
Rational Functions ◽  
Rooted Trees ◽  
Topological Classification ◽  
Chord Diagram ◽  
Combinatorial Object ◽  
Ramification Points

To any real rational function with generic ramification points we assign a combinatorial object, called a garden, which consists of a weighted labeled directed planar chord diagram and of a set of weighted rooted trees each corresponding to a face of the diagram. We prove that any garden corresponds to a generic real rational function, and that equivalent functions have equivalent gardens.

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