Topological Types of p-Hyperelliptic Real Algebraic Curves.
E. Bujalance, J.J. Etayo, J.M. Gamboa (1987)
Mathematische Zeitschrift
Similarity:
E. Bujalance, J.J. Etayo, J.M. Gamboa (1987)
Mathematische Zeitschrift
Similarity:
Sheng-Li Tan (1996)
Mathematische Zeitschrift
Similarity:
Sheng-Li Tan (1994)
Manuscripta mathematica
Similarity:
Benjamin Girard (2008)
Acta Arithmetica
Similarity:
Wojciech Kucharz (1987)
Mathematische Zeitschrift
Similarity:
Hubert Gollek (2005)
Banach Center Publications
Similarity:
We study curves in Sl(2,ℂ) whose tangent vectors have vanishing length with respect to the biinvariant conformal metric induced by the Killing form, so-called null curves. We establish differential invariants of them that resemble infinitesimal arc length, curvature and torsion of ordinary curves in Euclidean 3-space. We discuss various differential-algebraic representation formulas for null curves. One of them, a modification of the Bianchi-Small formula, gives an Sl(2,ℂ)-equivariant...
Serge Randriambololona, Sergei Starchenko (2011)
Fundamenta Mathematicae
Similarity:
We show that the first order structure whose underlying universe is ℂ and whose basic relations are all algebraic subsets of ℂ² does not have quantifier elimination. Since an algebraic subset of ℂ² is either of dimension ≤ 1 or has a complement of dimension ≤ 1, one can restate the former result as a failure of quantifier elimination for planar complex algebraic curves. We then prove that removing the planarity hypothesis suffices to recover quantifier elimination: the structure with...
A. Lipgober (1989)
Inventiones mathematicae
Similarity:
Walter D. Neumann (1989)
Inventiones mathematicae
Similarity:
Matsumoto, Kengo (1999)
Documenta Mathematica
Similarity:
O. Babelon, D. Bernard, F. A. Smirnov (1997)
Recherche Coopérative sur Programme n°25
Similarity:
Giuseppe Canuto (1979)
Inventiones mathematicae
Similarity:
Yuka Kotorii (2014)
Fundamenta Mathematicae
Similarity:
We define finite type invariants for cyclic equivalence classes of nanophrases and construct universal invariants. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold basic invariants to signed words are finite type invariants of degree 2, by Fujiwara's work. We give another proof of this result and show that those invariants do not provide the universal one of degree 2.
Mark D. Schlatter (2005)
Visual Mathematics
Similarity:
Paulus Gerdes (2002)
Visual Mathematics
Similarity:
Nat Friedman (2001)
Visual Mathematics
Similarity:
Slavik Jablan (2001)
Visual Mathematics
Similarity: