Aristides Kontogeorgis

New (2)

2013

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A. Kontogeorgis, S. Karanikolopoulos
Automorphisms of Curves and Weierstrass semigroups for Harbater-Katz-Gabber covers
DOI BibTeX Preliminary Version
In: , Vol. , No. , pg. , 2013.
ISSN: .

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Journal articles (27)

to appear

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A. Kontogeorgis
Constructing Class invariants
BibTeX Preliminary Version
In: Mathematics of Computation, Vol. , No. , pg. , to appear.
ISSN: .

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F. Bars, A. Kontogeorgis, X. Xarles
Bielliptic and Hyperelliptic Modular curves X(N) and the group Aut(X(N)).
DOI BibTeX Preliminary Version
In: Acta Arithmetica, Vol. , No. , pg. , to appear.
ISSN: .

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S. Karanikolopoulos, A. Kontogeorgis
Integral representations of cyclic groups acting on relative holomorphic differentials of deformations of curves with automorphisms
DOI BibTeX Preliminary Version
In: Proc. of the AMS, Vol. , No. , pg. , to appear.
ISSN: .

2013

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S. Karanikolopoulos, A. Kontogeorgis
Representation of cyclic groups in positive characteristic and Weierstrass semigroups
DOI BibTeX Preliminary Version
In: Journal of Number Theory, Vol. 133, No. 1, pg. 158–175, 2013.
ISSN: 0022-314X.
Keywords: Automorphisms; Curves; Numerical semigroups.

2012

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H. Chan, E. Konstantinou, A. Kontogeorgis, C. Tan
What is your “birthday elliptic curves”?”
DOI BibTeX Preliminary Version
In: Finite Fields and Their Applications, Vol. 180, pg. 1232–1241, 2012.

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B. Koeck, A. Kontogeorgis
Quadratic Differentials and Equivariant Deformation Theory of Curves
DOI BibTeX Preliminary Version
In: Annales de L’institut Fourier, Vol. 62, No. 3, pg. 1015–1043, 2012.
ISSN: .

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E. Konstantinou, A. Kontogeorgis
Ramanujan invariants for discriminants congruent to $5\pmod24$
DOI BibTeX Preliminary Version
In: Int. J. Number Theory, Vol. 8, No. 1, pg. 265–287, 2012.
ISSN: 1793-0421.

2011

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E. Konstantinou, A. Kontogeorgis
Some remarks on the construction of class polynomials
DOI BibTeX Preliminary Version
In: Adv. Math. Commun., Vol. 5, No. 1, pg. 109–118, 2011.
ISSN: 1930-5346.

2010

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H. Chan, A. Kontogeorgis, C. Krattenthaler, R. Osburn
Supercongruences satisfied by coefficients of $2F1$ hypergeometric series
BibTeX Preliminary Version
In: Ann. Sci. Math. Québec, Vol. 34, No. 1, pg. 25–36, 2010.
ISSN: 0707-9109.

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G. Cornelissen, F. Kato, A. Kontogeorgis
The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves
DOI BibTeX Preliminary Version
In: Israel J. Math., Vol. 180, pg. 345–370, 2010.
ISSN: 0021-2172.

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E. Konstantinou, A. Kontogeorgis, Y. Stamatiou, C. Zaroliagis
On the efficient generation of prime-order elliptic curves
DOI BibTeX Preliminary Version
In: J. Cryptology, Vol. 23, No. 3, pg. 477–503, 2010.
ISSN: 0933-2790.

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A. Kontogeorgis, Y. Yang
Automorphisms of hyperelliptic modular curves $X_0(N)$ in positive characteristic
DOI BibTeX Preliminary Version
In: LMS J. Comput. Math., Vol. 13, pg. 144–163, 2010.
ISSN: 1461-1570.

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E. Konstantinou, A. Kontogeorgis
Ramanujan’s class invariants and their use in elliptic curve cryptography
DOI BibTeX Preliminary Version
In: Comput. Math. Appl., Vol. 59, No. 8, pg. 2901–2917, 2010.
ISSN: 0898-1221.

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G. Cornelissen, A. Kontogeorgis, L. Zalm
Arithmetic equivalence for function fields, the Goss zeta function and a generalisation
DOI BibTeX Preliminary Version
In: J. Number Theory, Vol. 130, No. 4, pg. 1000–1012, 2010.
ISSN: 0022-314X.

2009

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A. Kontogeorgis
Field of moduli versus field of definition for cyclic covers of the projective line
DOI BibTeX Preliminary Version
In: J. Théor. Nombres Bordeaux, Vol. 21, No. 3, pg. 679–692, 2009.
ISSN: 1246-7405.

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E. Konstantinou, A. Kontogeorgis
Computing polynomials of the Ramanujan $t_n$ class invariants
DOI BibTeX Preliminary Version
In: Canad. Math. Bull., Vol. 52, No. 4, pg. 583–597, 2009.
ISSN: 0008-4395.

2008

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A. Kontogeorgis, V. Rotger
On the non-existence of exceptional automorphisms on Shimura curves
DOI BibTeX Preliminary Version
In: Bull. Lond. Math. Soc., Vol. 40, No. 3, pg. 363–374, 2008.
ISSN: 0024-6093.

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A. Kontogeorgis
The ramification sequence for a fixed point of an automorphism of a curve and the Weierstrass gap sequence
DOI BibTeX Preliminary Version
In: Math. Z., Vol. 259, No. 3, pg. 471–479, 2008.
ISSN: 0025-5874.

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A. Kontogeorgis
Actions of Galois groups on invariants of number fields
DOI BibTeX Preliminary Version
In: J. Number Theory, Vol. 128, No. 6, pg. 1587–1601, 2008.
ISSN: 0022-314X.

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A. Kontogeorgis, V. Rotger
On abelian automorphism groups of Mumford curves
DOI BibTeX Preliminary Version
In: Bull. Lond. Math. Soc., Vol. 40, No. 3, pg. 353–362, 2008.
ISSN: 0024-6093.

2007

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A. Kontogeorgis
Polydifferentials and the deformation functor of curves with automorphisms
DOI BibTeX Preliminary Version
In: J. Pure Appl. Algebra, Vol. 210, No. 2, pg. 551–558, 2007.
ISSN: 0022-4049.

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A. Kontogeorgis
On the tangent space of the deformation functor of curves with automorphisms
DOI BibTeX Preliminary Version
In: Algebra Number Theory, Vol. 1, No. 2, pg. 119–161, 2007.
ISSN: 1937-0652.

2006

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J. Antoniadis, A. Kontogeorgis
On cyclic covers of the projective line
DOI BibTeX Preliminary Version
In: Manuscripta Math., Vol. 121, No. 1, pg. 105–130, 2006.
ISSN: 0025-2611.

2002

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A. Kontogeorgis
Automorphisms of Fermat-like varieties
DOI BibTeX Preliminary Version
In: Manuscripta Math., Vol. 107, No. 2, pg. 187–205, 2002.
ISSN: 0025-2611.

2001

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G. Cornelissen, F. Kato, A. Kontogeorgis
Discontinuous groups in positive characteristic and automorphisms of Mumford curves
DOI BibTeX Preliminary Version
In: Math. Ann., Vol. 320, No. 1, pg. 55–85, 2001.
ISSN: 0025-5831.

1999

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A. Kontogeorgis
The group of automorphisms of cyclic extensions of rational function fields
DOI BibTeX Preliminary Version
In: J. Algebra, Vol. 216, No. 2, pg. 665–706, 1999.
ISSN: 0021-8693.

1998

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A. Kontogeorgis
The group of automorphisms of the function fields of the curve $x^n+y^m+1=0$
DOI BibTeX Preliminary Version
In: J. Number Theory, Vol. 72, No. 1, pg. 110–136, 1998.
ISSN: 0022-314X.

Conference (1)

2005

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E. Konstantinou, A. Kontogeorgis, Y. Stamatiou, C. Zaroliagis
Generating prime order elliptic curves: difficulties and efficiency considerations
DOI BibTeX Preliminary Version
In: Information security and cryptology—ICISC 2004, Lecture Notes in Comput. Sci., Vol. 3506, pg. 261–278, Springer, 2005, Berlin.
The original publication is available at www.springerlink.com

Theses (2)

1998

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A. Kontogeorgis
Ομάδες Αυτομορφισμών Αλγεβρικών Καμπυλών
DOI BibTeX Preliminary Version
In: , Vol. , No. , pg. , 1998.
ISSN: .

1994

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Preprints (3)

2010

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S. Karanikolopoulos, A. Kontogeorgis
Automorphisms of Curves and Weierstrass semigroups
BibTeX Preliminary Version
In: , Vol. , No. , pg. , 2010.
ISSN: .

2008

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D. Goundaroulis, A. Kontogeorgis
On the principal ideal theorem in arithmetic topology.
BibTeX Preliminary Version
In: , Vol. , No. , pg. , 2008.
ISSN: .

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A. Kontogeorgis
Deformation of Curves with Automorphisms and Representations on Riemann-Roch spaces.
BibTeX Preliminary Version
In: , Vol. , No. , pg. , 2008.
ISSN: .