Lifting low-gonal curves for use in Tuitman’s algorithm
نویسندگان
چکیده
منابع مشابه
Syzygies of 5-Gonal Canonical Curves
We show that for 5-gonal curves of odd genus g ≥ 13 and even genus g ≥ 28 the ⌈ g−1 2 ⌉-th syzygy module of the curve is not determined by the syzygies of the scroll swept out by the special pencil of degree 5. 2010 Mathematics Subject Classification: 13D02,14H51
متن کاملLifting curves simply
Let fρ(L) indicate the smallest integer so that every curve on a fixed hyperbolic surface (S, ρ) of length at most L lifts to a simple curve on a cover of degree at most fρ(L). We provide linear lower bounds for fρ(L), improving a recent result of Gupta-Kapovich [6]. When (S, ρ) is without punctures, using work of Patel [9] and Lenzhen-Rafi-Tao [7] we conclude that fρ(L)/L grows like the recipr...
متن کاملVery special divisors on 4-gonal real algebraic curves
Given a real curve, we study special linear systems called “very special” for which the dimension does not satisfy a Clifford type inequality. We classify all these very special linear systems when the gonality of the curve is small.
متن کاملCOMPUTING THE BRAID MONODROMY OF COMPLETELY REDUCIBLE n-GONAL CURVES
Braid monodromy is an important tool for computing invariants of curves and surfaces. In this paper, the rectangular braid diagram (RBD) method is proposed to compute the braid monodromy of a completely reducible n-gonal curve, i.e. the curves in the form (y−y1(x))...(y−yn(x)) = 0 where n ∈ Z+ and yi ∈ C[x]. Also, an algorithm is presented to compute the Alexander polynomial of these curve comp...
متن کاملObstructions to Lifting Tropical Curves in Hypersurfaces
Tropicalization takes a curve in a hypersurface in 3-space to a balanced rational weighted graph in a tropical surface. In this paper, we study the ‘lifting’ problem: given a graph in a tropical surface, can one find a corresponding algebraic curve in a hypersurface? We develop specific combinatorial obstructions to a graph lifting by studying the factorizations of polynomials with particular N...
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: Open Book Series
سال: 2020
ISSN: 2329-907X,2329-9061
DOI: 10.2140/obs.2020.4.109