Fundamental Theorem of Projective Geometry over Semirings

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Date
2021-10-11MFO Scientific Program
OWLF 2021Series
Oberwolfach Preprints;2021-09Author
Tewari, Ayush Kumar
Metadata
Show full item recordOWP-2021-09
Abstract
We state the fundamental theorem of projective geometry for semimodules over semirings, which is facilitated by recent work in the study of bases in semimodules defined over semirings. In the process we explore in detail the linear algebra setup over semirings. We also provide more explicit results to understand the implications of our main theorem on maps between tropical lines in the tropical plane. Along with this we also look at geometrical connections to the rich theory of tropical geometry.