منابع مشابه
Curve Space: Classifying Curves on Surfaces
We design signatures for curves defined on genus zero surfaces. The signature classifies curves according to the conformal geometry of the given curves and their embedded surface. Based on Teichmüller theory, our signature describes not only the curve shape but also the intrinsic relationship between the curve and its embedded surface. Furthermore, the signature metric is stable, it is close to...
متن کاملCubic curves and totally geodesic subvarieties of moduli space
In this paper we present the first example of a primitive, totally geodesic subvariety F ⊂ Mg,n with dim(F ) > 1. The variety we consider is a surface F ⊂M1,3 defined using the projective geometry of plane cubic curves. We also obtain a new series of Teichmüller curves in M4, and new SL2(R)–invariant varieties in the moduli spaces of quadratic differentials and holomorphic 1-forms.
متن کاملA characterization of curves in Galilean 4-space $G_4$
In the present study, we consider a regular curve in Galilean $4$-space $mathbb{G}_{4}$ whose position vector is written as a linear combination of its Frenet vectors. We characterize such curves in terms of their curvature functions. Further, we obtain some results of rectifying, constant ratio, $T$-constant and $N$-constant curves in $mathbb{G}_{4}$.
متن کاملOn the Intersections of Rational Curves with Cubic Plane Curves
Let V be a generic quintic threefold in the 4-dimensional complex projective space P. A well-known conjecture of Clemens says that V has only a finite number of rational curves in each degree. Although Clemens’ conjecture is still quite open at this moment (it is known to be true for degree up to 7 by S. Katz [K]), recently physicists, based on the mirror symmetry principle, have proposed a for...
متن کاملUniqueness of Steiner Laws on Cubic Curves
In this paper we use the Cayley-Bacharach theorem of classical algebraic geometry to construct several universal algebras on algebraic curves using divisors and complete intersection cycles and study the equational identities valid for these synthetic constructions. These results are not necessarily new; in fact, all of them may be “easily” provable by resorting to such powerful tools as the Ri...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky a fysiky
سال: 1950
ISSN: 1802-114X
DOI: 10.21136/cpmf.1950.120778