scholarly journals Cremona Transformations of Weighted Projective Planes, Zariski Pairs, and Rational Cuspidal Curves

2021 ◽  
pp. 117-157
Author(s):  
Enrique Artal Bartolo ◽  
José I. Cogolludo-Agustín ◽  
Jorge Martín-Morales
Keyword(s):  
Projective Planes ◽  
Cremona Transformations

Spiky projective planes

1991 ◽  
Vol 257 (1-2) ◽  
pp. 51-55
Author(s):  
D. Johnston
Keyword(s):  
Projective Planes

scholarly journals On submaximal curves in fake projective planes

2021 ◽  
Vol 225 (10) ◽  
pp. 106709
Author(s):  
Piotr Pokora ◽  
Halszka Tutaj-Gasińska
Keyword(s):  
Projective Planes

4-Dimensional projective planes of Lenz type III

1972 ◽  
Vol 1 (1) ◽  
Author(s):  
Helmut Salzmann
Keyword(s):  
Projective Planes ◽  
Type Iii

scholarly journals Maximal arcs in projective planes of order 16 and related designs

2019 ◽  
Vol 19 (3) ◽  
pp. 345-351 ◽  
Author(s):  
Mustafa Gezek ◽  
Vladimir D. Tonchev ◽  
Tim Wagner
Keyword(s):  
Projective Plane ◽  
Projective Planes ◽  
Maximal Arcs ◽  
Even Order

Abstract The resolutions and maximal sets of compatible resolutions of all 2-(120,8,1) designs arising from maximal (120,8)-arcs, and the 2-(52,4,1) designs arising from previously known maximal (52,4)-arcs, as well as some newly discovered maximal (52,4)-arcs in the known projective planes of order 16, are computed. It is shown that each 2-(120,8,1) design associated with a maximal (120,8)-arc is embeddable in a unique way in a projective plane of order 16. This result suggests a possible strengthening of the Bose–Shrikhande theorem about the embeddability of the complement of a hyperoval in a projective plane of even order. The computations of the maximal sets of compatible resolutions of the 2-(52,4,1) designs associated with maximal (52,4)-arcs show that five of the known projective planes of order 16 contain maximal arcs whose associated designs are embeddable in two nonisomorphic planes of order 16.

scholarly journals Configurations in projective planes and quadrilateral-star Ramsey numbers

2008 ◽  
Vol 308 (17) ◽  
pp. 3986-3991 ◽  
Author(s):  
E.L. Monte Carmelo
Keyword(s):  
Projective Planes ◽  
Ramsey Numbers

scholarly journals On the balanced upper chromatic number of cyclic projective planes and projective spaces

2015 ◽  
Vol 338 (12) ◽  
pp. 2562-2571 ◽  
Author(s):  
Gabriela Araujo-Pardo ◽  
György Kiss ◽  
Amanda Montejano
Keyword(s):  
Chromatic Number ◽  
Projective Spaces ◽  
Projective Planes

scholarly journals The classification of projective planes of order 9 which possess an involution

1982 ◽  
Vol 33 (1) ◽  
pp. 65-75 ◽  
Author(s):  
Zvonimir Janko ◽  
Tran Van Trung
Keyword(s):  
Projective Planes
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