Equilateral Convex Triangulations of RP² with Three Conical Points of Equal Defect

TY - CHAP

T1 - Equilateral Convex Triangulations of RP2 with Three Conical Points of Equal Defect

AU - Chernavskikh, Mikhail

AU - Erdnigor, Altan

AU - Kalinin, Nikita

AU - Zakharov, Alexandr

N1 - Publisher Copyright: © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022.

PY - 2022/1/1

Y1 - 2022/1/1

N2 - Consider triangulations of RP2 whose all vertices have valency six except three vertices of valency 4. In this chapter we prove that the number f(n) of such triangulations with no more than n triangles grows as C ⋅ n2 + O(n3∕2) where, where is the Lobachevsky function and ζ(Eis,2)=∑(a,b)Z2-01|a+bω2|4, and ω6 = 1.

AB - Consider triangulations of RP2 whose all vertices have valency six except three vertices of valency 4. In this chapter we prove that the number f(n) of such triangulations with no more than n triangles grows as C ⋅ n2 + O(n3∕2) where, where is the Lobachevsky function and ζ(Eis,2)=∑(a,b)Z2-01|a+bω2|4, and ω6 = 1.

KW - Conical singularity

KW - Epstein zeta

KW - Equilateral triangulation

KW - Flat metric

KW - Function

KW - Hyperbolic volume

KW - Zeta function

UR - http://www.scopus.com/inward/record.url?scp=85158943711&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-97560-9_9

DO - 10.1007/978-3-030-97560-9_9

M3 - 章节

AN - SCOPUS:85158943711

SN - 9783030975593

SP - 315

EP - 329

BT - In the Tradition of Thurston II

PB - Springer International Publishing

ER -