Construction of surfaces with Kodaira 1











up vote
0
down vote

favorite
1












I am trying to find examples of Surfaces with Kodaira 1, but no so much difficult to get it, Can some body help me with some examples?



Thanks.










share|cite|improve this question






















  • There are several examples on the wikipedia page: en.wikipedia.org/wiki/Elliptic_surface
    – DKS
    Nov 16 at 14:16















up vote
0
down vote

favorite
1












I am trying to find examples of Surfaces with Kodaira 1, but no so much difficult to get it, Can some body help me with some examples?



Thanks.










share|cite|improve this question






















  • There are several examples on the wikipedia page: en.wikipedia.org/wiki/Elliptic_surface
    – DKS
    Nov 16 at 14:16













up vote
0
down vote

favorite
1









up vote
0
down vote

favorite
1






1





I am trying to find examples of Surfaces with Kodaira 1, but no so much difficult to get it, Can some body help me with some examples?



Thanks.










share|cite|improve this question













I am trying to find examples of Surfaces with Kodaira 1, but no so much difficult to get it, Can some body help me with some examples?



Thanks.







algebraic-geometry minimal-surfaces






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 16 at 12:03









sti9111

372317




372317












  • There are several examples on the wikipedia page: en.wikipedia.org/wiki/Elliptic_surface
    – DKS
    Nov 16 at 14:16


















  • There are several examples on the wikipedia page: en.wikipedia.org/wiki/Elliptic_surface
    – DKS
    Nov 16 at 14:16
















There are several examples on the wikipedia page: en.wikipedia.org/wiki/Elliptic_surface
– DKS
Nov 16 at 14:16




There are several examples on the wikipedia page: en.wikipedia.org/wiki/Elliptic_surface
– DKS
Nov 16 at 14:16










1 Answer
1






active

oldest

votes

















up vote
2
down vote













Let $C$ elliptic curve and $C'$ a (smooth projective) curve of genus $g geq 2$, then $C times C'$ has Kodaira dimension 1.






share|cite|improve this answer





















    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%2f3001059%2fconstruction-of-surfaces-with-kodaira-1%23new-answer', 'question_page');
    }
    );

    Post as a guest















    Required, but never shown

























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    2
    down vote













    Let $C$ elliptic curve and $C'$ a (smooth projective) curve of genus $g geq 2$, then $C times C'$ has Kodaira dimension 1.






    share|cite|improve this answer

























      up vote
      2
      down vote













      Let $C$ elliptic curve and $C'$ a (smooth projective) curve of genus $g geq 2$, then $C times C'$ has Kodaira dimension 1.






      share|cite|improve this answer























        up vote
        2
        down vote










        up vote
        2
        down vote









        Let $C$ elliptic curve and $C'$ a (smooth projective) curve of genus $g geq 2$, then $C times C'$ has Kodaira dimension 1.






        share|cite|improve this answer












        Let $C$ elliptic curve and $C'$ a (smooth projective) curve of genus $g geq 2$, then $C times C'$ has Kodaira dimension 1.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 16 at 21:12









        Nick L

        1,15110




        1,15110






























             

            draft saved


            draft discarded



















































             


            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3001059%2fconstruction-of-surfaces-with-kodaira-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

            AnyDesk - Fatal Program Failure

            How to calibrate 16:9 built-in touch-screen to a 4:3 resolution?

            QoS: MAC-Priority for clients behind a repeater