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picture1_Geometry Pdf 167314 | Mikhalkin Tropical Lectures


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File: Geometry Pdf 167314 | Mikhalkin Tropical Lectures
Notes by Eric Katz TROPICAL GEOMETRY GRIGORY MIKHALKIN 1. Introduction 1.1. Two applications. Let us begin with two examples of questions where trop- ical geometry is useful. Example1.1 ...

icon picture PDF Filetype PDF | Posted on 25 Jan 2023 | 2 years ago

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...Notes by eric katz tropical geometry grigory mikhalkin introduction two applications let us begin with examples of questions where trop ical is useful example can we represent an untied trefoil knot as a genus curve degree in rp yes means it turns out that be represented rational but not greater than since such must sit on quadric surface kk figure enumerate real and complex curves simultaneously com binatorics for there way to count or cp through d g points using bipartite graphs algebraic over the tropi cal semi eld t s underlying set half open interval amoeba line x y c wemayinclude log family maps logt z zn will dilated hausdor limit lim v union rays at origin this contains homological information about behavior near ends little else instead consider n parameterized piecewise linear object called noticethatwhenweapplylog weloseinformationabouttheargumentofpoints canthereforestrengthenthe correspondencebetweenclassicalandtropical including some phases picture these give phase data u...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 25 Jan 2023 | 2 years ago
										
										
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