The symbol $(Y-Y_1)^-$











up vote
0
down vote

favorite












I am reading Hartshorne's Algebraic Geometry and on p. 5, in the proof of Proposition 1.5, there suddenly appeared the symbol $Z=(Y-Y_1)^-$ in the second paragraph. What does the symbol mean? This is supposed to make $Z=Y_2cupcdotscup Y_r$ hold.










share|cite|improve this question


















  • 2




    The closure of $Y-Y_1$ perhaps?
    – Lord Shark the Unknown
    Nov 22 at 7:49










  • Why then, is $Z=Y_2cupcdotscup Y_r$ true?
    – sai
    Nov 22 at 7:58















up vote
0
down vote

favorite












I am reading Hartshorne's Algebraic Geometry and on p. 5, in the proof of Proposition 1.5, there suddenly appeared the symbol $Z=(Y-Y_1)^-$ in the second paragraph. What does the symbol mean? This is supposed to make $Z=Y_2cupcdotscup Y_r$ hold.










share|cite|improve this question


















  • 2




    The closure of $Y-Y_1$ perhaps?
    – Lord Shark the Unknown
    Nov 22 at 7:49










  • Why then, is $Z=Y_2cupcdotscup Y_r$ true?
    – sai
    Nov 22 at 7:58













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I am reading Hartshorne's Algebraic Geometry and on p. 5, in the proof of Proposition 1.5, there suddenly appeared the symbol $Z=(Y-Y_1)^-$ in the second paragraph. What does the symbol mean? This is supposed to make $Z=Y_2cupcdotscup Y_r$ hold.










share|cite|improve this question













I am reading Hartshorne's Algebraic Geometry and on p. 5, in the proof of Proposition 1.5, there suddenly appeared the symbol $Z=(Y-Y_1)^-$ in the second paragraph. What does the symbol mean? This is supposed to make $Z=Y_2cupcdotscup Y_r$ hold.







algebraic-geometry






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 22 at 7:40









sai

515




515








  • 2




    The closure of $Y-Y_1$ perhaps?
    – Lord Shark the Unknown
    Nov 22 at 7:49










  • Why then, is $Z=Y_2cupcdotscup Y_r$ true?
    – sai
    Nov 22 at 7:58














  • 2




    The closure of $Y-Y_1$ perhaps?
    – Lord Shark the Unknown
    Nov 22 at 7:49










  • Why then, is $Z=Y_2cupcdotscup Y_r$ true?
    – sai
    Nov 22 at 7:58








2




2




The closure of $Y-Y_1$ perhaps?
– Lord Shark the Unknown
Nov 22 at 7:49




The closure of $Y-Y_1$ perhaps?
– Lord Shark the Unknown
Nov 22 at 7:49












Why then, is $Z=Y_2cupcdotscup Y_r$ true?
– sai
Nov 22 at 7:58




Why then, is $Z=Y_2cupcdotscup Y_r$ true?
– sai
Nov 22 at 7:58















active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3008850%2fthe-symbol-y-y-1%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown






























active

oldest

votes













active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.





Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


Please pay close attention to the following guidance:


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3008850%2fthe-symbol-y-y-1%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

How do I know what Microsoft account the skydrive app is syncing to?

When does type information flow backwards in C++?

Grease: Live!